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Finding the Fourth Proportional to 6,535.88, 9,801.68 and 2,152.28

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Solution

The fourth proportional to 6,535.88, 9,801.68 and 2,152.28 is: 3,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.88 : 9,801.68 = 2,152.28 : x
  2. Step 2: Convert to fraction form
    6,535.88/9,801.68 = 2,152.28/x
  3. Step 3: Cross multiply
    6,535.88x = 9,801.68 × 2,152.28
  4. Step 4: Simplify right side
    6,535.88x = 21,095,959.83
  5. Step 5: Solve for x
    x = 21,095,959.83/6,535.88
  6. Step 6: Final answer
    x = 3,227.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.